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Theory of Probability & Basic Concepts

Defining Experiment:
Experiment is defined as an operation which produces some well defined outcomes.

Random Experiment:
Random experiments are those which produce possible outcomes. The exact outcomes can’t be produced in advance.

Examples of Random Experiments

a. Rolling an unbiased dice

b. Tossing a fair coin

c. Picking a ball in certain colors

d. Drawing a card from a pack of cards

Results

a. Throwing a coin may case of results either Head(H) or Tail(T)

b. Dice is a solid cube having six faces which are marked as 1, 2, and 3,4,5,6 respectively. Throwing a dice will case of outcomes one of the number out of these numbers.

c. A pack of cards having 52 cards

1. 13 cards of each suit, Spades, Clubs, Hearts, Diamonds

2. Spades & Clubs: Black Cards

3. Hearts & Diamonds: Red Cards

4. Four honors of each suite, these are kings, aces, queens, jacks. These cards are called face cards.

Sample Space: In performing an experiment may result the set S of all possible outcomes, this set S of possible outcomes is called sample space.